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Finding the Third Proportional to 1,899,376,464 and 4,185,175,051

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Solution

The third proportional to 1,899,376,464 and 4,185,175,051 is: 9,221,810,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899,376,464 : 4,185,175,051 = 4,185,175,051 : x
  2. Step 2: Convert to fraction form
    1,899,376,464/4,185,175,051 = 4,185,175,051/x
  3. Step 3: Cross multiply
    1,899,376,464x = 4,185,175,051 × 4,185,175,051
  4. Step 4: Simplify right side
    1,899,376,464x = 17,515,690,207,512,852,480
  5. Step 5: Solve for x
    x = 17,515,690,207,512,852,480/1,899,376,464
  6. Step 6: Final answer
    x = 9,221,810,704.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.